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goldenfox [79]
3 years ago
10

Laura ran 100 yards in 14 seconds. To the nearest hundredth, what was her speed in mile per hour?

Mathematics
1 answer:
TEA [102]3 years ago
4 0
7.14 mile per hour is how fast she ran
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For the function given below, find a formula for the Riemann sum obtained by dividing the interval (0, 3) into n equal subinterv
Viktor [21]

Splitting up [0, 3] into n equally-spaced subintervals of length \Delta x=\frac{3-0}n = \frac3n gives the partition

\left[0, \dfrac3n\right] \cup \left[\dfrac3n, \dfrac6n\right] \cup \left[\dfrac6n, \dfrac9n\right] \cup \cdots \cup \left[\dfrac{3(n-1)}n, 3\right]

where the right endpoint of the i-th subinterval is given by the sequence

r_i = \dfrac{3i}n

for i\in\{1,2,3,\ldots,n\}.

Then the definite integral is given by the infinite Riemann sum

\displaystyle \int_0^3 2x^2 \, dx = \lim_{n\to\infty} \sum_{i=1}^n 2{r_i}^2 \Delta x \\\\ ~~~~~~~~ = \lim_{n\to\infty} \frac6n \sum_{i=1}^n \left(\frac{3i}n\right)^2 \\\\ ~~~~~~~~ = \lim_{n\to\infty} \frac{54}{n^3} \sum_{i=1}^n i^2 \\\\ ~~~~~~~~ = \lim_{n\to\infty} \frac{54}{n^3}\cdot\frac{n(n+1)(2n+1)}6 = \boxed{18}

8 0
2 years ago
Four heirs (A, B, C, and D) must fairly divide an estate consisting of two items - a desk and a vanity - using the method of sea
Tom [10]

Answer:

1)The original fair share of A is worth 340$

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Step-by-step explanation:

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3 years ago
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5. Mr. Rodriguez invests $2,000 in a savings plan. The savings account pays an annual interest rate of 5.75% on the amount he pu
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Answer: $1150

Step-by-step explanation:

Simple interest is calculated as:

= Principal × Rate × Time

where,

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Rate = 5.75%

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Interest = 2000 × 5.75% × 10

= 2000 × 0.0575 × 10

= 1150

The amount earned will be $1150.

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How much dextrose is contained within 200mL of D5W?
Mumz [18]

Answer:

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Step-by-step explanation:

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